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Which regular polygon has an interior angle whose measure is 108 degree?
hextogonImproved Answer:-A regular pentagon which has 5 sides
What is the definition of central angle of a regular polygon?
an angle whose vertex is the center of the polygon and whose sides pass through adjacent vertices.
If the sum of a interior angle measure of polygon is 720 degrees how many sides does the polygon have?
It is a 6 sided hexagon whose interior angles add up to 720 degrees
A polygon whose angle measurement add up to 360 degrees?
what polygon has angle measures that add up to 360
An angle whose measure is exactly 180 degrees?
An angle whose measure is exactly 180 degrees is a straight angle.
Polygon what is it?
Triangles, rectangles and octagons are all examples of a polygon. A polygon is a polygon whose sides are the same length and whose interior angles are the same measure
How many sides does a regular polygon have if the measures of each exterior angle equals 12 degrees?
The regular polygon whose exterior angle measure is 12 degrees, has 30 sides (360/12, since the exterior angles on any polygon always add up to 360 degrees).
In a regular polygon the ratio of the measure of the exterior angle to the measure of the adjacent interior angle is 4 to 1 how many sides does the polygon have Please show your work?
This is not possible for a normal regular polygon. (A regular polygon has all equal angles and all equal sides. A normal polygon has no intersecting edges.)The smallest regular polygon is an equilateral triangle (a three sided polygon), whose exterior angle measure is twice the measure of its interior angle. A four-sided polygon (a square) has equal interior and exterior angle measures of 90⁰. Starting from a five-sided polygon, the exterior angle measure is smaller than the interior angle measure.Let's assume that the given information is true. So we need to verify it.Let's say that the interior angle of the regular polygon has a measure of x degrees, and the measure of the exterior angle of that polygon is 4x degrees.Since the sum of the interior and the exterior angles of the polygon is 180 degrees (a straight line), the interior angle is 36 degrees.4x + x = 1805x = 1805x/5 = 180/5x = 36The sum of the angles of a polygon = 180⁰(n - 2), where n is the number of the sides of the polygon.The measure of one of the angles of a polygon = 180⁰(n - 2)/n. Substituting the angle measure of 36⁰ into this formula, we have:36⁰ = 180⁰(n - 2)/n (multiply by n to both sides)36⁰n = 180⁰(n - 2)36⁰n = 180⁰n - 360⁰ (add 360⁰ and subtract 36⁰n to both sides)360⁰ = 144⁰n (divide by 144⁰ to both sides)2.5 = n !!That means that a such normal polygon does not exist.
An angle whose measure is 90?
Right Angle
An angle whose measure is two times 90dagree?
An angle whose measure is two times 90 degrees is a 180 degree angle, which is also a straight angle.
An angle whose degree measure is between 0 and 90?
An angle whose degree measure is between 0 and 90 is an acute angle. An angle whose degree measure is between 90 and 180 is an obtuse angle. These are basic properties of geometry.
What are the kind of different kind of angles?
Acute Angle: An angle whose measure is less than 90 degrees and greater then zero degrees is called an acute angle. Right Angle: An angle whose measure is 90 degrees is called right angle. Obtuse Angle: An angle whose measure is greater than 90 degrees and less than 180 degrees is called obtuse angle. Straight Angle: An angle whose measure is 180 degrees called a straight angle. Reflex Angle: An angle whose measure is greater than 180 degrees and less than 360 degrees is called a reflex angle. Complete Angle: An angle whose measure is 360 degrees is called a complete angle. Zero Angle: If the measure of an angle is zero it is called a zero angle.
